A046367 Odd numbers divisible by the palindromic sum of its palindromic prime factors (counted with multiplicity).

27, 5445, 8085, 18711, 22275, 658845, 868095, 978285, 1164625, 1452605, 2695275, 2898693, 3622365, 4002075, 4222911, 4764375, 5671875, 5942475, 7074375, 8421875, 8582203, 9261945, 10637825, 11026125, 13752585, 16372125, 17275545

Offset

0,1

Links

Table of n, a(n) for n=0..26.

Example

8582203 = 7^3 * 131 * 191 -> Sum of factors is 343 -> 8582203 / 343 = 25021 exactly.

Mathematica

palQ[n_]:=Reverse[x=IntegerDigits[n]]==x; t={}; Do[If[!PrimeQ[n]&&And@@palQ/@Join[{y=Total[Times@@@(x=FactorInteger[n])]}, First/@x]&&IntegerQ[n/y], AppendTo[t, n]], {n, 9, 6*10^6, 2}]; t (* Jayanta Basu, Jun 05 2013 *)

Crossrefs

Cf. A046366.

Sequence in context: A211927 A298595 A278686 * A059795 A211928 A123395

Adjacent sequences: A046364 A046365 A046366 * A046368 A046369 A046370

Keyword

nonn,base

Author

Patrick De Geest, Jun 15 1998

Status

approved